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2002110220200 = 233527345710279
BaseRepresentation
bin11101001000100111000…
…100011000011110101000
321002101210111121010212210
4131020213010120132220
5230300310204021300
64131431242205120
7264435105036366
oct35104704303650
97071714533783
102002110220200
117020aa02a522
122840327b37a0
13116a4b7c008c
146cc8cc3a636
153712d3b3050
hex1d2271187a8

2002110220200 has 96 divisors (see below), whose sum is σ = 6291562939200. Its totient is φ = 526582402560.

The previous prime is 2002110220171. The next prime is 2002110220213. The reversal of 2002110220200 is 20220112002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22811340 + ... + 22898939.

It is an arithmetic number, because the mean of its divisors is an integer number (65537113950).

Almost surely, 22002110220200 is an apocalyptic number.

2002110220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002110220200 is an abundant number, since it is smaller than the sum of its proper divisors (4289452719000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002110220200 is a wasteful number, since it uses less digits than its factorization.

2002110220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45710371 (or 45710362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002110220200 its reverse (20220112002), we get a palindrome (2022330332202).

The spelling of 2002110220200 in words is "two trillion, two billion, one hundred ten million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 730 876 1095 1460 1752 1825 2190 2920 3650 4380 5475 7300 8760 10950 14600 21900 43800 45710279 91420558 137130837 182841116 228551395 274261674 365682232 457102790 548523348 685654185 914205580 1097046696 1142756975 1371308370 1828411160 2285513950 2742616740 3336850367 3428270925 4571027900 5485233480 6673700734 6856541850 9142055800 10010551101 13347401468 13713083700 16684251835 20021102202 26694802936 27426167400 33368503670 40042204404 50052755505 66737007340 80084408808 83421259175 100105511010 133474014680 166842518350 200211022020 250263777525 333685036700 400422044040 500527555050 667370073400 1001055110100 2002110220200